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Finding the Fourth Proportional to 202.61, 279.62 and 123.92

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Solution

The fourth proportional to 202.61, 279.62 and 123.92 is: 171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.61 : 279.62 = 123.92 : x
  2. Step 2: Convert to fraction form
    202.61/279.62 = 123.92/x
  3. Step 3: Cross multiply
    202.61x = 279.62 × 123.92
  4. Step 4: Simplify right side
    202.61x = 34,650.51
  5. Step 5: Solve for x
    x = 34,650.51/202.61
  6. Step 6: Final answer
    x = 171.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.